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This paper analyzes an unreliable $$M^{X}/G(M/H)/1$$MX/G(M/H)/1 retrial system with vacation. We present closed-form expressions for the important performance indicators of the system, and derive the optimal vacation policies for minimizing… Click to show full abstract
This paper analyzes an unreliable $$M^{X}/G(M/H)/1$$MX/G(M/H)/1 retrial system with vacation. We present closed-form expressions for the important performance indicators of the system, and derive the optimal vacation policies for minimizing the average waiting time of orbiting customers. The performance metrics relevant for helpline services are developed. Numerical experiments are conducted to examine the effect of vacation policy on the queue length and busy period of the system.
Journal Title: Annals of Operations Research
Year Published: 2017
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